5220800928 has 288 divisors, whose sum is σ = 17613977472. Its totient is φ = 1435852800.

The previous prime is 5220800891. The next prime is 5220800971. The reversal of 5220800928 is 8290080225.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5220800928² = 54513524659611322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5220800892 and 5220800901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6860068 + ... + 6860828.

It is an arithmetic number, because the mean of its divisors is an integer number (61159644).

Almost surely, 2^5220800928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5220800928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806988736).

5220800928 is an abundant number, since it is smaller than the sum of its proper divisors (12393176544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5220800928 is a wasteful number, since it uses less digits than its factorization.

5220800928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5220800928 is about 72255.1100476638. The cubic root of 5220800928 is about 1734.7852112806.

The spelling of 5220800928 in words is "five billion, two hundred twenty million, eight hundred thousand, nine hundred twenty-eight".